2402960400 has 405 divisors, whose sum is σ = 9010363869. Its totient is φ = 592945920.

The previous prime is 2402960377. The next prime is 2402960429. The reversal of 2402960400 is 40692042.

The square root of 2402960400 is 49020.

It is a perfect power (a square), and thus also a powerful number.

2402960400 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 865065744 + 1537894656 = 29412^2 + 39216^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55882779 + ... + 55882821.

Almost surely, 2^2402960400 is an apocalyptic number.

2402960400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2402960400 is the 49020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402960400

2402960400 is an abundant number, since it is smaller than the sum of its proper divisors (6607403469).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2402960400 is a wasteful number, since it uses less digits than its factorization.

2402960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 2402960400 is about 1339.4161710026.

The spelling of 2402960400 in words is "two billion, four hundred two million, nine hundred sixty thousand, four hundred".